An elementary school is taking a busload of children to a science fair. It costs $140.00 to drive the bus to the fair and back, and the school pays each student's $3.00 admission fee. NRAC AND RE ACE (a) Use a formula to express the total cost C, in dollars, of the science fair trip as a linear function of the number n of children who make the trip. 3n 140 С% (b) Identify the slope and initial value of C. slope 140 initial value Explain in practical terms what these values mean The slope indicates that for each additional child we take on the trip the total cost increases by 3 The initial value is 140 and it is the cost of taking the bus itself to the fair. (c) Explain in practical terms what C(5) means. (in dollars) of the science fair trip if 5 children make the trip. C(5) represents the total cost Calculate C(5) $ 155 (d) Solve the equation C(n) = 182 for n. n X Explain what the answer you get represents. The solution of the equation 3n 140 182 is the number of students we can take if there is $ X to spend. OLayneKennedy/CORBIS

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